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Finding the Fourth Proportional to 266.69, 397.17 and 257.58

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Solution

The fourth proportional to 266.69, 397.17 and 257.58 is: 383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.69 : 397.17 = 257.58 : x
  2. Step 2: Convert to fraction form
    266.69/397.17 = 257.58/x
  3. Step 3: Cross multiply
    266.69x = 397.17 × 257.58
  4. Step 4: Simplify right side
    266.69x = 102,303.05
  5. Step 5: Solve for x
    x = 102,303.05/266.69
  6. Step 6: Final answer
    x = 383.60

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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.