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Finding the Fourth Proportional to 480.51, 663.12 and 284.13

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Solution

The fourth proportional to 480.51, 663.12 and 284.13 is: 392.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.51 : 663.12 = 284.13 : x
  2. Step 2: Convert to fraction form
    480.51/663.12 = 284.13/x
  3. Step 3: Cross multiply
    480.51x = 663.12 × 284.13
  4. Step 4: Simplify right side
    480.51x = 188,412.29
  5. Step 5: Solve for x
    x = 188,412.29/480.51
  6. Step 6: Final answer
    x = 392.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.