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Finding the Fourth Proportional to 145.89, 201.15 and 102.15

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Solution

The fourth proportional to 145.89, 201.15 and 102.15 is: 140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.89 : 201.15 = 102.15 : x
  2. Step 2: Convert to fraction form
    145.89/201.15 = 102.15/x
  3. Step 3: Cross multiply
    145.89x = 201.15 × 102.15
  4. Step 4: Simplify right side
    145.89x = 20,547.47
  5. Step 5: Solve for x
    x = 20,547.47/145.89
  6. Step 6: Final answer
    x = 140.84

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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.