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Finding the Fourth Proportional to 602.89, 904.10 and 212.74

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Solution

The fourth proportional to 602.89, 904.10 and 212.74 is: 319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.89 : 904.10 = 212.74 : x
  2. Step 2: Convert to fraction form
    602.89/904.10 = 212.74/x
  3. Step 3: Cross multiply
    602.89x = 904.10 × 212.74
  4. Step 4: Simplify right side
    602.89x = 192,334.91
  5. Step 5: Solve for x
    x = 192,334.91/602.89
  6. Step 6: Final answer
    x = 319.02

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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.