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Finding the Fourth Proportional to 421.04, 630.48 and 292.64

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Solution

The fourth proportional to 421.04, 630.48 and 292.64 is: 438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.04 : 630.48 = 292.64 : x
  2. Step 2: Convert to fraction form
    421.04/630.48 = 292.64/x
  3. Step 3: Cross multiply
    421.04x = 630.48 × 292.64
  4. Step 4: Simplify right side
    421.04x = 184,503.67
  5. Step 5: Solve for x
    x = 184,503.67/421.04
  6. Step 6: Final answer
    x = 438.21

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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.