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Finding the Fourth Proportional to 313.29, 432.18 and 215.10

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Solution

The fourth proportional to 313.29, 432.18 and 215.10 is: 296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.29 : 432.18 = 215.10 : x
  2. Step 2: Convert to fraction form
    313.29/432.18 = 215.10/x
  3. Step 3: Cross multiply
    313.29x = 432.18 × 215.10
  4. Step 4: Simplify right side
    313.29x = 92,961.92
  5. Step 5: Solve for x
    x = 92,961.92/313.29
  6. Step 6: Final answer
    x = 296.73

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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.