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Finding the Fourth Proportional to 339.72, 507.07 and 315.64

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Solution

The fourth proportional to 339.72, 507.07 and 315.64 is: 471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.72 : 507.07 = 315.64 : x
  2. Step 2: Convert to fraction form
    339.72/507.07 = 315.64/x
  3. Step 3: Cross multiply
    339.72x = 507.07 × 315.64
  4. Step 4: Simplify right side
    339.72x = 160,051.57
  5. Step 5: Solve for x
    x = 160,051.57/339.72
  6. Step 6: Final answer
    x = 471.13

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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.