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Finding the Fourth Proportional to 497.23, 746.06 and 266.06

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Solution

The fourth proportional to 497.23, 746.06 and 266.06 is: 399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.23 : 746.06 = 266.06 : x
  2. Step 2: Convert to fraction form
    497.23/746.06 = 266.06/x
  3. Step 3: Cross multiply
    497.23x = 746.06 × 266.06
  4. Step 4: Simplify right side
    497.23x = 198,498.76
  5. Step 5: Solve for x
    x = 198,498.76/497.23
  6. Step 6: Final answer
    x = 399.21

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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.