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Finding the Fourth Proportional to 256.02, 382.50 and 242.70

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Solution

The fourth proportional to 256.02, 382.50 and 242.70 is: 362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.02 : 382.50 = 242.70 : x
  2. Step 2: Convert to fraction form
    256.02/382.50 = 242.70/x
  3. Step 3: Cross multiply
    256.02x = 382.50 × 242.70
  4. Step 4: Simplify right side
    256.02x = 92,832.75
  5. Step 5: Solve for x
    x = 92,832.75/256.02
  6. Step 6: Final answer
    x = 362.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.