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Finding the Fourth Proportional to 291.86, 437.91 and 147.68

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Solution

The fourth proportional to 291.86, 437.91 and 147.68 is: 221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.86 : 437.91 = 147.68 : x
  2. Step 2: Convert to fraction form
    291.86/437.91 = 147.68/x
  3. Step 3: Cross multiply
    291.86x = 437.91 × 147.68
  4. Step 4: Simplify right side
    291.86x = 64,670.55
  5. Step 5: Solve for x
    x = 64,670.55/291.86
  6. Step 6: Final answer
    x = 221.58

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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.