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Finding the Fourth Proportional to 293.16, 439.74 and 87.71

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Solution

The fourth proportional to 293.16, 439.74 and 87.71 is: 131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.16 : 439.74 = 87.71 : x
  2. Step 2: Convert to fraction form
    293.16/439.74 = 87.71/x
  3. Step 3: Cross multiply
    293.16x = 439.74 × 87.71
  4. Step 4: Simplify right side
    293.16x = 38,567.40
  5. Step 5: Solve for x
    x = 38,567.40/293.16
  6. Step 6: Final answer
    x = 131.56

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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.