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Finding the Fourth Proportional to 266.64, 397.11 and 265.10

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Solution

The fourth proportional to 266.64, 397.11 and 265.10 is: 394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.64 : 397.11 = 265.10 : x
  2. Step 2: Convert to fraction form
    266.64/397.11 = 265.10/x
  3. Step 3: Cross multiply
    266.64x = 397.11 × 265.10
  4. Step 4: Simplify right side
    266.64x = 105,271.88
  5. Step 5: Solve for x
    x = 105,271.88/266.64
  6. Step 6: Final answer
    x = 394.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.