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Finding the Fourth Proportional to 420.64, 630.64 and 292.96

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Solution

The fourth proportional to 420.64, 630.64 and 292.96 is: 439.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.64 : 630.64 = 292.96 : x
  2. Step 2: Convert to fraction form
    420.64/630.64 = 292.96/x
  3. Step 3: Cross multiply
    420.64x = 630.64 × 292.96
  4. Step 4: Simplify right side
    420.64x = 184,752.29
  5. Step 5: Solve for x
    x = 184,752.29/420.64
  6. Step 6: Final answer
    x = 439.22

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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.