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Finding the Fourth Proportional to 256.48, 384.77 and 230.66

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Solution

The fourth proportional to 256.48, 384.77 and 230.66 is: 346.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.48 : 384.77 = 230.66 : x
  2. Step 2: Convert to fraction form
    256.48/384.77 = 230.66/x
  3. Step 3: Cross multiply
    256.48x = 384.77 × 230.66
  4. Step 4: Simplify right side
    256.48x = 88,751.05
  5. Step 5: Solve for x
    x = 88,751.05/256.48
  6. Step 6: Final answer
    x = 346.03

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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.