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Finding the Fourth Proportional to 480.16, 663.18 and 384.68

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Solution

The fourth proportional to 480.16, 663.18 and 384.68 is: 531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.16 : 663.18 = 384.68 : x
  2. Step 2: Convert to fraction form
    480.16/663.18 = 384.68/x
  3. Step 3: Cross multiply
    480.16x = 663.18 × 384.68
  4. Step 4: Simplify right side
    480.16x = 255,108.77
  5. Step 5: Solve for x
    x = 255,108.77/480.16
  6. Step 6: Final answer
    x = 531.30

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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.