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Finding the Fourth Proportional to 145.64, 217.24 and 141.08

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Solution

The fourth proportional to 145.64, 217.24 and 141.08 is: 210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.64 : 217.24 = 141.08 : x
  2. Step 2: Convert to fraction form
    145.64/217.24 = 141.08/x
  3. Step 3: Cross multiply
    145.64x = 217.24 × 141.08
  4. Step 4: Simplify right side
    145.64x = 30,648.22
  5. Step 5: Solve for x
    x = 30,648.22/145.64
  6. Step 6: Final answer
    x = 210.44

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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.