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Finding the Fourth Proportional to 339.76, 507.25 and 319.16

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Solution

The fourth proportional to 339.76, 507.25 and 319.16 is: 476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.76 : 507.25 = 319.16 : x
  2. Step 2: Convert to fraction form
    339.76/507.25 = 319.16/x
  3. Step 3: Cross multiply
    339.76x = 507.25 × 319.16
  4. Step 4: Simplify right side
    339.76x = 161,893.91
  5. Step 5: Solve for x
    x = 161,893.91/339.76
  6. Step 6: Final answer
    x = 476.49

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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.