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Finding the Fourth Proportional to 470.40, 648.96 and 339.12

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Solution

The fourth proportional to 470.40, 648.96 and 339.12 is: 467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.40 : 648.96 = 339.12 : x
  2. Step 2: Convert to fraction form
    470.40/648.96 = 339.12/x
  3. Step 3: Cross multiply
    470.40x = 648.96 × 339.12
  4. Step 4: Simplify right side
    470.40x = 220,075.32
  5. Step 5: Solve for x
    x = 220,075.32/470.40
  6. Step 6: Final answer
    x = 467.85

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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.