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Finding the Fourth Proportional to 145.10, 215.79 and 143.59

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Solution

The fourth proportional to 145.10, 215.79 and 143.59 is: 213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.10 : 215.79 = 143.59 : x
  2. Step 2: Convert to fraction form
    145.10/215.79 = 143.59/x
  3. Step 3: Cross multiply
    145.10x = 215.79 × 143.59
  4. Step 4: Simplify right side
    145.10x = 30,985.29
  5. Step 5: Solve for x
    x = 30,985.29/145.10
  6. Step 6: Final answer
    x = 213.54

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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.