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Finding the Fourth Proportional to 242.70, 364.02 and 169.35

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Solution

The fourth proportional to 242.70, 364.02 and 169.35 is: 254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.70 : 364.02 = 169.35 : x
  2. Step 2: Convert to fraction form
    242.70/364.02 = 169.35/x
  3. Step 3: Cross multiply
    242.70x = 364.02 × 169.35
  4. Step 4: Simplify right side
    242.70x = 61,646.79
  5. Step 5: Solve for x
    x = 61,646.79/242.70
  6. Step 6: Final answer
    x = 254.00

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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.