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Finding the Fourth Proportional to 261.04, 357.84 and 258.62

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Solution

The fourth proportional to 261.04, 357.84 and 258.62 is: 354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.04 : 357.84 = 258.62 : x
  2. Step 2: Convert to fraction form
    261.04/357.84 = 258.62/x
  3. Step 3: Cross multiply
    261.04x = 357.84 × 258.62
  4. Step 4: Simplify right side
    261.04x = 92,544.58
  5. Step 5: Solve for x
    x = 92,544.58/261.04
  6. Step 6: Final answer
    x = 354.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.