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Finding the Fourth Proportional to 486.03, 728.95 and 157

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Solution

The fourth proportional to 486.03, 728.95 and 157 is: 235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.03 : 728.95 = 157 : x
  2. Step 2: Convert to fraction form
    486.03/728.95 = 157/x
  3. Step 3: Cross multiply
    486.03x = 728.95 × 157
  4. Step 4: Simplify right side
    486.03x = 114,444.37
  5. Step 5: Solve for x
    x = 114,444.37/486.03
  6. Step 6: Final answer
    x = 235.47

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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.