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Finding the Fourth Proportional to 497.66, 745.85 and 234.03

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Solution

The fourth proportional to 497.66, 745.85 and 234.03 is: 350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.66 : 745.85 = 234.03 : x
  2. Step 2: Convert to fraction form
    497.66/745.85 = 234.03/x
  3. Step 3: Cross multiply
    497.66x = 745.85 × 234.03
  4. Step 4: Simplify right side
    497.66x = 174,547.77
  5. Step 5: Solve for x
    x = 174,547.77/497.66
  6. Step 6: Final answer
    x = 350.74

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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.