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Finding the Fourth Proportional to 291.59, 437.67 and 152.90

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Solution

The fourth proportional to 291.59, 437.67 and 152.90 is: 229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.59 : 437.67 = 152.90 : x
  2. Step 2: Convert to fraction form
    291.59/437.67 = 152.90/x
  3. Step 3: Cross multiply
    291.59x = 437.67 × 152.90
  4. Step 4: Simplify right side
    291.59x = 66,920.45
  5. Step 5: Solve for x
    x = 66,920.45/291.59
  6. Step 6: Final answer
    x = 229.50

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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.