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Finding the Fourth Proportional to 145.39, 215.65 and 143.23

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Solution

The fourth proportional to 145.39, 215.65 and 143.23 is: 212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.39 : 215.65 = 143.23 : x
  2. Step 2: Convert to fraction form
    145.39/215.65 = 143.23/x
  3. Step 3: Cross multiply
    145.39x = 215.65 × 143.23
  4. Step 4: Simplify right side
    145.39x = 30,885.76
  5. Step 5: Solve for x
    x = 30,885.76/145.39
  6. Step 6: Final answer
    x = 212.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.