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Finding the Fourth Proportional to 420.98, 631.56 and 147.06

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Solution

The fourth proportional to 420.98, 631.56 and 147.06 is: 220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.98 : 631.56 = 147.06 : x
  2. Step 2: Convert to fraction form
    420.98/631.56 = 147.06/x
  3. Step 3: Cross multiply
    420.98x = 631.56 × 147.06
  4. Step 4: Simplify right side
    420.98x = 92,877.21
  5. Step 5: Solve for x
    x = 92,877.21/420.98
  6. Step 6: Final answer
    x = 220.62

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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.