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Finding the Fourth Proportional to 480.04, 662.50 and 342.12

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Solution

The fourth proportional to 480.04, 662.50 and 342.12 is: 472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.04 : 662.50 = 342.12 : x
  2. Step 2: Convert to fraction form
    480.04/662.50 = 342.12/x
  3. Step 3: Cross multiply
    480.04x = 662.50 × 342.12
  4. Step 4: Simplify right side
    480.04x = 226,654.50
  5. Step 5: Solve for x
    x = 226,654.50/480.04
  6. Step 6: Final answer
    x = 472.16

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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.