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Finding the Fourth Proportional to 497.06, 745.29 and 188.71

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Solution

The fourth proportional to 497.06, 745.29 and 188.71 is: 282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.06 : 745.29 = 188.71 : x
  2. Step 2: Convert to fraction form
    497.06/745.29 = 188.71/x
  3. Step 3: Cross multiply
    497.06x = 745.29 × 188.71
  4. Step 4: Simplify right side
    497.06x = 140,641.81
  5. Step 5: Solve for x
    x = 140,641.81/497.06
  6. Step 6: Final answer
    x = 282.95

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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.