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Finding the Fourth Proportional to 338.70, 504.75 and 302.15

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Solution

The fourth proportional to 338.70, 504.75 and 302.15 is: 450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.70 : 504.75 = 302.15 : x
  2. Step 2: Convert to fraction form
    338.70/504.75 = 302.15/x
  3. Step 3: Cross multiply
    338.70x = 504.75 × 302.15
  4. Step 4: Simplify right side
    338.70x = 152,509.71
  5. Step 5: Solve for x
    x = 152,509.71/338.70
  6. Step 6: Final answer
    x = 450.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.