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Finding the Fourth Proportional to 292.60, 439.05 and 291.69

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Solution

The fourth proportional to 292.60, 439.05 and 291.69 is: 437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.60 : 439.05 = 291.69 : x
  2. Step 2: Convert to fraction form
    292.60/439.05 = 291.69/x
  3. Step 3: Cross multiply
    292.60x = 439.05 × 291.69
  4. Step 4: Simplify right side
    292.60x = 128,066.49
  5. Step 5: Solve for x
    x = 128,066.49/292.60
  6. Step 6: Final answer
    x = 437.68

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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.