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Finding the Fourth Proportional to 312.52, 465.65 and 296.84

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Solution

The fourth proportional to 312.52, 465.65 and 296.84 is: 442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.52 : 465.65 = 296.84 : x
  2. Step 2: Convert to fraction form
    312.52/465.65 = 296.84/x
  3. Step 3: Cross multiply
    312.52x = 465.65 × 296.84
  4. Step 4: Simplify right side
    312.52x = 138,223.55
  5. Step 5: Solve for x
    x = 138,223.55/312.52
  6. Step 6: Final answer
    x = 442.29

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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.