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Finding the Fourth Proportional to 319.72, 442.92 and 312.16

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Solution

The fourth proportional to 319.72, 442.92 and 312.16 is: 432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.72 : 442.92 = 312.16 : x
  2. Step 2: Convert to fraction form
    319.72/442.92 = 312.16/x
  3. Step 3: Cross multiply
    319.72x = 442.92 × 312.16
  4. Step 4: Simplify right side
    319.72x = 138,261.91
  5. Step 5: Solve for x
    x = 138,261.91/319.72
  6. Step 6: Final answer
    x = 432.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.