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Finding the Fourth Proportional to 469.71, 648.29 and 280.65

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Solution

The fourth proportional to 469.71, 648.29 and 280.65 is: 387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.71 : 648.29 = 280.65 : x
  2. Step 2: Convert to fraction form
    469.71/648.29 = 280.65/x
  3. Step 3: Cross multiply
    469.71x = 648.29 × 280.65
  4. Step 4: Simplify right side
    469.71x = 181,941.19
  5. Step 5: Solve for x
    x = 181,941.19/469.71
  6. Step 6: Final answer
    x = 387.35

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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.