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Finding the Fourth Proportional to 208.93, 313.13 and 99.15

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Solution

The fourth proportional to 208.93, 313.13 and 99.15 is: 148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.93 : 313.13 = 99.15 : x
  2. Step 2: Convert to fraction form
    208.93/313.13 = 99.15/x
  3. Step 3: Cross multiply
    208.93x = 313.13 × 99.15
  4. Step 4: Simplify right side
    208.93x = 31,047.67
  5. Step 5: Solve for x
    x = 31,047.67/208.93
  6. Step 6: Final answer
    x = 148.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.