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Finding the Fourth Proportional to 256.90, 384.63 and 160.42

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Solution

The fourth proportional to 256.90, 384.63 and 160.42 is: 240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.90 : 384.63 = 160.42 : x
  2. Step 2: Convert to fraction form
    256.90/384.63 = 160.42/x
  3. Step 3: Cross multiply
    256.90x = 384.63 × 160.42
  4. Step 4: Simplify right side
    256.90x = 61,702.34
  5. Step 5: Solve for x
    x = 61,702.34/256.90
  6. Step 6: Final answer
    x = 240.18

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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.