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Finding the Fourth Proportional to 145.83, 201.10 and 118.18

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Solution

The fourth proportional to 145.83, 201.10 and 118.18 is: 162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.83 : 201.10 = 118.18 : x
  2. Step 2: Convert to fraction form
    145.83/201.10 = 118.18/x
  3. Step 3: Cross multiply
    145.83x = 201.10 × 118.18
  4. Step 4: Simplify right side
    145.83x = 23,766.00
  5. Step 5: Solve for x
    x = 23,766.00/145.83
  6. Step 6: Final answer
    x = 162.97

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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.