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Finding the Fourth Proportional to 480, 662.40 and 296.32

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Solution

The fourth proportional to 480, 662.40 and 296.32 is: 408.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    480 : 662.40 = 296.32 : x
  2. Step 2: Convert to fraction form
    480/662.40 = 296.32/x
  3. Step 3: Cross multiply
    480x = 662.40 × 296.32
  4. Step 4: Simplify right side
    480x = 196,282.37
  5. Step 5: Solve for x
    x = 196,282.37/480
  6. Step 6: Final answer
    x = 408.92

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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.