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Finding the Fourth Proportional to 319.59, 475.90 and 307.92

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Solution

The fourth proportional to 319.59, 475.90 and 307.92 is: 458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.59 : 475.90 = 307.92 : x
  2. Step 2: Convert to fraction form
    319.59/475.90 = 307.92/x
  3. Step 3: Cross multiply
    319.59x = 475.90 × 307.92
  4. Step 4: Simplify right side
    319.59x = 146,539.13
  5. Step 5: Solve for x
    x = 146,539.13/319.59
  6. Step 6: Final answer
    x = 458.52

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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.