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Finding the Fourth Proportional to 257.18, 385.50 and 153.98

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Solution

The fourth proportional to 257.18, 385.50 and 153.98 is: 230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.18 : 385.50 = 153.98 : x
  2. Step 2: Convert to fraction form
    257.18/385.50 = 153.98/x
  3. Step 3: Cross multiply
    257.18x = 385.50 × 153.98
  4. Step 4: Simplify right side
    257.18x = 59,357.87
  5. Step 5: Solve for x
    x = 59,357.87/257.18
  6. Step 6: Final answer
    x = 230.81

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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.