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Finding the Fourth Proportional to 494.03, 740.61 and 277.16

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Solution

The fourth proportional to 494.03, 740.61 and 277.16 is: 415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.03 : 740.61 = 277.16 : x
  2. Step 2: Convert to fraction form
    494.03/740.61 = 277.16/x
  3. Step 3: Cross multiply
    494.03x = 740.61 × 277.16
  4. Step 4: Simplify right side
    494.03x = 205,263.76
  5. Step 5: Solve for x
    x = 205,263.76/494.03
  6. Step 6: Final answer
    x = 415.49

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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.