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Finding the Fourth Proportional to 507.18, 700.13 and 357.92

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Solution

The fourth proportional to 507.18, 700.13 and 357.92 is: 494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.18 : 700.13 = 357.92 : x
  2. Step 2: Convert to fraction form
    507.18/700.13 = 357.92/x
  3. Step 3: Cross multiply
    507.18x = 700.13 × 357.92
  4. Step 4: Simplify right side
    507.18x = 250,590.55
  5. Step 5: Solve for x
    x = 250,590.55/507.18
  6. Step 6: Final answer
    x = 494.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.