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Finding the Fourth Proportional to 292.19, 437.37 and 154.89

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Solution

The fourth proportional to 292.19, 437.37 and 154.89 is: 231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.19 : 437.37 = 154.89 : x
  2. Step 2: Convert to fraction form
    292.19/437.37 = 154.89/x
  3. Step 3: Cross multiply
    292.19x = 437.37 × 154.89
  4. Step 4: Simplify right side
    292.19x = 67,744.24
  5. Step 5: Solve for x
    x = 67,744.24/292.19
  6. Step 6: Final answer
    x = 231.85

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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.