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Finding the Fourth Proportional to 103.07, 153.77 and 86.06

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Solution

The fourth proportional to 103.07, 153.77 and 86.06 is: 128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.07 : 153.77 = 86.06 : x
  2. Step 2: Convert to fraction form
    103.07/153.77 = 86.06/x
  3. Step 3: Cross multiply
    103.07x = 153.77 × 86.06
  4. Step 4: Simplify right side
    103.07x = 13,233.40
  5. Step 5: Solve for x
    x = 13,233.40/103.07
  6. Step 6: Final answer
    x = 128.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.