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Finding the Fourth Proportional to 364.15, 502.15 and 317.12

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Solution

The fourth proportional to 364.15, 502.15 and 317.12 is: 437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.15 : 502.15 = 317.12 : x
  2. Step 2: Convert to fraction form
    364.15/502.15 = 317.12/x
  3. Step 3: Cross multiply
    364.15x = 502.15 × 317.12
  4. Step 4: Simplify right side
    364.15x = 159,243.34
  5. Step 5: Solve for x
    x = 159,243.34/364.15
  6. Step 6: Final answer
    x = 437.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.