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Finding the Fourth Proportional to 418.13, 627.34 and 302.70

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Solution

The fourth proportional to 418.13, 627.34 and 302.70 is: 454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.13 : 627.34 = 302.70 : x
  2. Step 2: Convert to fraction form
    418.13/627.34 = 302.70/x
  3. Step 3: Cross multiply
    418.13x = 627.34 × 302.70
  4. Step 4: Simplify right side
    418.13x = 189,895.82
  5. Step 5: Solve for x
    x = 189,895.82/418.13
  6. Step 6: Final answer
    x = 454.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.