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Finding the Fourth Proportional to 312.65, 465.89 and 292.14

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Solution

The fourth proportional to 312.65, 465.89 and 292.14 is: 435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.65 : 465.89 = 292.14 : x
  2. Step 2: Convert to fraction form
    312.65/465.89 = 292.14/x
  3. Step 3: Cross multiply
    312.65x = 465.89 × 292.14
  4. Step 4: Simplify right side
    312.65x = 136,105.10
  5. Step 5: Solve for x
    x = 136,105.10/312.65
  6. Step 6: Final answer
    x = 435.33

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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.