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Finding the Fourth Proportional to 415.32, 620.10 and 357.45

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Solution

The fourth proportional to 415.32, 620.10 and 357.45 is: 533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.32 : 620.10 = 357.45 : x
  2. Step 2: Convert to fraction form
    415.32/620.10 = 357.45/x
  3. Step 3: Cross multiply
    415.32x = 620.10 × 357.45
  4. Step 4: Simplify right side
    415.32x = 221,654.75
  5. Step 5: Solve for x
    x = 221,654.75/415.32
  6. Step 6: Final answer
    x = 533.70

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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.