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Finding the Fourth Proportional to 442.13, 663.19 and 314.69

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Solution

The fourth proportional to 442.13, 663.19 and 314.69 is: 472.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.13 : 663.19 = 314.69 : x
  2. Step 2: Convert to fraction form
    442.13/663.19 = 314.69/x
  3. Step 3: Cross multiply
    442.13x = 663.19 × 314.69
  4. Step 4: Simplify right side
    442.13x = 208,695.16
  5. Step 5: Solve for x
    x = 208,695.16/442.13
  6. Step 6: Final answer
    x = 472.03

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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.