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Finding the Fourth Proportional to 312.56, 466.15 and 296.15

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Solution

The fourth proportional to 312.56, 466.15 and 296.15 is: 441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.56 : 466.15 = 296.15 : x
  2. Step 2: Convert to fraction form
    312.56/466.15 = 296.15/x
  3. Step 3: Cross multiply
    312.56x = 466.15 × 296.15
  4. Step 4: Simplify right side
    312.56x = 138,050.75
  5. Step 5: Solve for x
    x = 138,050.75/312.56
  6. Step 6: Final answer
    x = 441.68

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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.