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Finding the Fourth Proportional to 384.26, 530.35 and 267.75

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Solution

The fourth proportional to 384.26, 530.35 and 267.75 is: 369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.26 : 530.35 = 267.75 : x
  2. Step 2: Convert to fraction form
    384.26/530.35 = 267.75/x
  3. Step 3: Cross multiply
    384.26x = 530.35 × 267.75
  4. Step 4: Simplify right side
    384.26x = 142,000.54
  5. Step 5: Solve for x
    x = 142,000.54/384.26
  6. Step 6: Final answer
    x = 369.55

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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.