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Finding the Fourth Proportional to 145.41, 216.79 and 141.67

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Solution

The fourth proportional to 145.41, 216.79 and 141.67 is: 211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.41 : 216.79 = 141.67 : x
  2. Step 2: Convert to fraction form
    145.41/216.79 = 141.67/x
  3. Step 3: Cross multiply
    145.41x = 216.79 × 141.67
  4. Step 4: Simplify right side
    145.41x = 30,712.64
  5. Step 5: Solve for x
    x = 30,712.64/145.41
  6. Step 6: Final answer
    x = 211.21

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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.