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Finding the Fourth Proportional to 494.50, 741.75 and 152.50

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Solution

The fourth proportional to 494.50, 741.75 and 152.50 is: 228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.50 : 741.75 = 152.50 : x
  2. Step 2: Convert to fraction form
    494.50/741.75 = 152.50/x
  3. Step 3: Cross multiply
    494.50x = 741.75 × 152.50
  4. Step 4: Simplify right side
    494.50x = 113,116.88
  5. Step 5: Solve for x
    x = 113,116.88/494.50
  6. Step 6: Final answer
    x = 228.75

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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.