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Finding the Fourth Proportional to 487.49, 729.66 and 256.05

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Solution

The fourth proportional to 487.49, 729.66 and 256.05 is: 383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.49 : 729.66 = 256.05 : x
  2. Step 2: Convert to fraction form
    487.49/729.66 = 256.05/x
  3. Step 3: Cross multiply
    487.49x = 729.66 × 256.05
  4. Step 4: Simplify right side
    487.49x = 186,829.44
  5. Step 5: Solve for x
    x = 186,829.44/487.49
  6. Step 6: Final answer
    x = 383.25

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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.