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Finding the Fourth Proportional to 470.18, 648.65 and 293.01

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Solution

The fourth proportional to 470.18, 648.65 and 293.01 is: 404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.18 : 648.65 = 293.01 : x
  2. Step 2: Convert to fraction form
    470.18/648.65 = 293.01/x
  3. Step 3: Cross multiply
    470.18x = 648.65 × 293.01
  4. Step 4: Simplify right side
    470.18x = 190,059.47
  5. Step 5: Solve for x
    x = 190,059.47/470.18
  6. Step 6: Final answer
    x = 404.23

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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.