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Finding the Fourth Proportional to 480.42, 662.51 and 291.32

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Solution

The fourth proportional to 480.42, 662.51 and 291.32 is: 401.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.42 : 662.51 = 291.32 : x
  2. Step 2: Convert to fraction form
    480.42/662.51 = 291.32/x
  3. Step 3: Cross multiply
    480.42x = 662.51 × 291.32
  4. Step 4: Simplify right side
    480.42x = 193,002.41
  5. Step 5: Solve for x
    x = 193,002.41/480.42
  6. Step 6: Final answer
    x = 401.74

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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.