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Finding the Fourth Proportional to 929.25, 1,394.10 and 280.00

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Solution

The fourth proportional to 929.25, 1,394.10 and 280.00 is: 420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.25 : 1,394.10 = 280.00 : x
  2. Step 2: Convert to fraction form
    929.25/1,394.10 = 280.00/x
  3. Step 3: Cross multiply
    929.25x = 1,394.10 × 280.00
  4. Step 4: Simplify right side
    929.25x = 390,349.74
  5. Step 5: Solve for x
    x = 390,349.74/929.25
  6. Step 6: Final answer
    x = 420.07

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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.