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Finding the Fourth Proportional to 501.47, 692 and 280.38

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Solution

The fourth proportional to 501.47, 692 and 280.38 is: 386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.47 : 692 = 280.38 : x
  2. Step 2: Convert to fraction form
    501.47/692 = 280.38/x
  3. Step 3: Cross multiply
    501.47x = 692 × 280.38
  4. Step 4: Simplify right side
    501.47x = 194,019.50
  5. Step 5: Solve for x
    x = 194,019.50/501.47
  6. Step 6: Final answer
    x = 386.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.