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Finding the Fourth Proportional to 351.54, 524.65 and 307.42

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Solution

The fourth proportional to 351.54, 524.65 and 307.42 is: 458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.54 : 524.65 = 307.42 : x
  2. Step 2: Convert to fraction form
    351.54/524.65 = 307.42/x
  3. Step 3: Cross multiply
    351.54x = 524.65 × 307.42
  4. Step 4: Simplify right side
    351.54x = 161,287.90
  5. Step 5: Solve for x
    x = 161,287.90/351.54
  6. Step 6: Final answer
    x = 458.80

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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.