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Finding the Fourth Proportional to 420.65, 631.02 and 146.67

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Solution

The fourth proportional to 420.65, 631.02 and 146.67 is: 220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.65 : 631.02 = 146.67 : x
  2. Step 2: Convert to fraction form
    420.65/631.02 = 146.67/x
  3. Step 3: Cross multiply
    420.65x = 631.02 × 146.67
  4. Step 4: Simplify right side
    420.65x = 92,551.70
  5. Step 5: Solve for x
    x = 92,551.70/420.65
  6. Step 6: Final answer
    x = 220.02

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Why These Related Problems?

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