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Finding the Fourth Proportional to 487, 730.61 and 140.34

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Solution

The fourth proportional to 487, 730.61 and 140.34 is: 210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    487 : 730.61 = 140.34 : x
  2. Step 2: Convert to fraction form
    487/730.61 = 140.34/x
  3. Step 3: Cross multiply
    487x = 730.61 × 140.34
  4. Step 4: Simplify right side
    487x = 102,533.81
  5. Step 5: Solve for x
    x = 102,533.81/487
  6. Step 6: Final answer
    x = 210.54

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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.