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Finding the Fourth Proportional to 466.04, 642.78 and 291.32

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Solution

The fourth proportional to 466.04, 642.78 and 291.32 is: 401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.04 : 642.78 = 291.32 : x
  2. Step 2: Convert to fraction form
    466.04/642.78 = 291.32/x
  3. Step 3: Cross multiply
    466.04x = 642.78 × 291.32
  4. Step 4: Simplify right side
    466.04x = 187,254.67
  5. Step 5: Solve for x
    x = 187,254.67/466.04
  6. Step 6: Final answer
    x = 401.80

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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.