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Finding the Fourth Proportional to 145, 215.76 and 144.76

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Solution

The fourth proportional to 145, 215.76 and 144.76 is: 215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145 : 215.76 = 144.76 : x
  2. Step 2: Convert to fraction form
    145/215.76 = 144.76/x
  3. Step 3: Cross multiply
    145x = 215.76 × 144.76
  4. Step 4: Simplify right side
    145x = 31,233.42
  5. Step 5: Solve for x
    x = 31,233.42/145
  6. Step 6: Final answer
    x = 215.40

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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.