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Finding the Fourth Proportional to 281.54, 390.29 and 266.72

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Solution

The fourth proportional to 281.54, 390.29 and 266.72 is: 369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.54 : 390.29 = 266.72 : x
  2. Step 2: Convert to fraction form
    281.54/390.29 = 266.72/x
  3. Step 3: Cross multiply
    281.54x = 390.29 × 266.72
  4. Step 4: Simplify right side
    281.54x = 104,094.86
  5. Step 5: Solve for x
    x = 104,094.86/281.54
  6. Step 6: Final answer
    x = 369.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.