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Finding the Fourth Proportional to 790.19, 1,185.40 and 242.30

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Solution

The fourth proportional to 790.19, 1,185.40 and 242.30 is: 363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.19 : 1,185.40 = 242.30 : x
  2. Step 2: Convert to fraction form
    790.19/1,185.40 = 242.30/x
  3. Step 3: Cross multiply
    790.19x = 1,185.40 × 242.30
  4. Step 4: Simplify right side
    790.19x = 287,222.42
  5. Step 5: Solve for x
    x = 287,222.42/790.19
  6. Step 6: Final answer
    x = 363.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.