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Finding the Fourth Proportional to 266.07, 366.57 and 210.78

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Solution

The fourth proportional to 266.07, 366.57 and 210.78 is: 290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.07 : 366.57 = 210.78 : x
  2. Step 2: Convert to fraction form
    266.07/366.57 = 210.78/x
  3. Step 3: Cross multiply
    266.07x = 366.57 × 210.78
  4. Step 4: Simplify right side
    266.07x = 77,265.62
  5. Step 5: Solve for x
    x = 77,265.62/266.07
  6. Step 6: Final answer
    x = 290.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.