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Finding the Fourth Proportional to 420.84, 631.47 and 306.23

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Solution

The fourth proportional to 420.84, 631.47 and 306.23 is: 459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.84 : 631.47 = 306.23 : x
  2. Step 2: Convert to fraction form
    420.84/631.47 = 306.23/x
  3. Step 3: Cross multiply
    420.84x = 631.47 × 306.23
  4. Step 4: Simplify right side
    420.84x = 193,371.90
  5. Step 5: Solve for x
    x = 193,371.90/420.84
  6. Step 6: Final answer
    x = 459.50

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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.