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Finding the Fourth Proportional to 145.16, 200.36 and 86.16

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Solution

The fourth proportional to 145.16, 200.36 and 86.16 is: 118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.16 : 200.36 = 86.16 : x
  2. Step 2: Convert to fraction form
    145.16/200.36 = 86.16/x
  3. Step 3: Cross multiply
    145.16x = 200.36 × 86.16
  4. Step 4: Simplify right side
    145.16x = 17,263.23
  5. Step 5: Solve for x
    x = 17,263.23/145.16
  6. Step 6: Final answer
    x = 118.92

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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.