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Finding the Fourth Proportional to 487.06, 730.01 and 178.81

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Solution

The fourth proportional to 487.06, 730.01 and 178.81 is: 268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.06 : 730.01 = 178.81 : x
  2. Step 2: Convert to fraction form
    487.06/730.01 = 178.81/x
  3. Step 3: Cross multiply
    487.06x = 730.01 × 178.81
  4. Step 4: Simplify right side
    487.06x = 130,531.71
  5. Step 5: Solve for x
    x = 130,531.71/487.06
  6. Step 6: Final answer
    x = 268.00

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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.