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Finding the Fourth Proportional to 256.88, 384.78 and 148.61

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Solution

The fourth proportional to 256.88, 384.78 and 148.61 is: 222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.88 : 384.78 = 148.61 : x
  2. Step 2: Convert to fraction form
    256.88/384.78 = 148.61/x
  3. Step 3: Cross multiply
    256.88x = 384.78 × 148.61
  4. Step 4: Simplify right side
    256.88x = 57,182.16
  5. Step 5: Solve for x
    x = 57,182.16/256.88
  6. Step 6: Final answer
    x = 222.60

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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.