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Finding the Fourth Proportional to 420.63, 631.01 and 366.13

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Solution

The fourth proportional to 420.63, 631.01 and 366.13 is: 549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.63 : 631.01 = 366.13 : x
  2. Step 2: Convert to fraction form
    420.63/631.01 = 366.13/x
  3. Step 3: Cross multiply
    420.63x = 631.01 × 366.13
  4. Step 4: Simplify right side
    420.63x = 231,031.69
  5. Step 5: Solve for x
    x = 231,031.69/420.63
  6. Step 6: Final answer
    x = 549.25

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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.