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Finding the Fourth Proportional to 185.88, 256.53 and 102.99

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Solution

The fourth proportional to 185.88, 256.53 and 102.99 is: 142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.88 : 256.53 = 102.99 : x
  2. Step 2: Convert to fraction form
    185.88/256.53 = 102.99/x
  3. Step 3: Cross multiply
    185.88x = 256.53 × 102.99
  4. Step 4: Simplify right side
    185.88x = 26,420.79
  5. Step 5: Solve for x
    x = 26,420.79/185.88
  6. Step 6: Final answer
    x = 142.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.