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Finding the Fourth Proportional to 310.74, 465.10 and 296.16

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Solution

The fourth proportional to 310.74, 465.10 and 296.16 is: 443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.74 : 465.10 = 296.16 : x
  2. Step 2: Convert to fraction form
    310.74/465.10 = 296.16/x
  3. Step 3: Cross multiply
    310.74x = 465.10 × 296.16
  4. Step 4: Simplify right side
    310.74x = 137,744.02
  5. Step 5: Solve for x
    x = 137,744.02/310.74
  6. Step 6: Final answer
    x = 443.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.