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Finding the Fourth Proportional to 494.34, 741.48 and 152.34

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Solution

The fourth proportional to 494.34, 741.48 and 152.34 is: 228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.34 : 741.48 = 152.34 : x
  2. Step 2: Convert to fraction form
    494.34/741.48 = 152.34/x
  3. Step 3: Cross multiply
    494.34x = 741.48 × 152.34
  4. Step 4: Simplify right side
    494.34x = 112,957.06
  5. Step 5: Solve for x
    x = 112,957.06/494.34
  6. Step 6: Final answer
    x = 228.50

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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.