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Finding the Fourth Proportional to 384.80, 530.82 and 260.46

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Solution

The fourth proportional to 384.80, 530.82 and 260.46 is: 359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.80 : 530.82 = 260.46 : x
  2. Step 2: Convert to fraction form
    384.80/530.82 = 260.46/x
  3. Step 3: Cross multiply
    384.80x = 530.82 × 260.46
  4. Step 4: Simplify right side
    384.80x = 138,257.38
  5. Step 5: Solve for x
    x = 138,257.38/384.80
  6. Step 6: Final answer
    x = 359.30

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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.