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Finding the Fourth Proportional to 291.67, 437.08 and 147.19

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Solution

The fourth proportional to 291.67, 437.08 and 147.19 is: 220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.67 : 437.08 = 147.19 : x
  2. Step 2: Convert to fraction form
    291.67/437.08 = 147.19/x
  3. Step 3: Cross multiply
    291.67x = 437.08 × 147.19
  4. Step 4: Simplify right side
    291.67x = 64,333.81
  5. Step 5: Solve for x
    x = 64,333.81/291.67
  6. Step 6: Final answer
    x = 220.57

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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.