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Finding the Fourth Proportional to 261.40, 360.66 and 187.72

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Solution

The fourth proportional to 261.40, 360.66 and 187.72 is: 259.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.40 : 360.66 = 187.72 : x
  2. Step 2: Convert to fraction form
    261.40/360.66 = 187.72/x
  3. Step 3: Cross multiply
    261.40x = 360.66 × 187.72
  4. Step 4: Simplify right side
    261.40x = 67,703.10
  5. Step 5: Solve for x
    x = 67,703.10/261.40
  6. Step 6: Final answer
    x = 259.00

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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.