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Finding the Fourth Proportional to 145.34, 217.91 and 68.30

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Solution

The fourth proportional to 145.34, 217.91 and 68.30 is: 102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.34 : 217.91 = 68.30 : x
  2. Step 2: Convert to fraction form
    145.34/217.91 = 68.30/x
  3. Step 3: Cross multiply
    145.34x = 217.91 × 68.30
  4. Step 4: Simplify right side
    145.34x = 14,881.82
  5. Step 5: Solve for x
    x = 14,881.82/145.34
  6. Step 6: Final answer
    x = 102.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.