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Finding the Fourth Proportional to 145.10, 216.86 and 106.32

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Solution

The fourth proportional to 145.10, 216.86 and 106.32 is: 158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.10 : 216.86 = 106.32 : x
  2. Step 2: Convert to fraction form
    145.10/216.86 = 106.32/x
  3. Step 3: Cross multiply
    145.10x = 216.86 × 106.32
  4. Step 4: Simplify right side
    145.10x = 23,056.56
  5. Step 5: Solve for x
    x = 23,056.56/145.10
  6. Step 6: Final answer
    x = 158.90

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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.