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Finding the Fourth Proportional to 145.81, 218.81 and 64.67

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Solution

The fourth proportional to 145.81, 218.81 and 64.67 is: 97.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.81 : 218.81 = 64.67 : x
  2. Step 2: Convert to fraction form
    145.81/218.81 = 64.67/x
  3. Step 3: Cross multiply
    145.81x = 218.81 × 64.67
  4. Step 4: Simplify right side
    145.81x = 14,151.15
  5. Step 5: Solve for x
    x = 14,151.15/145.81
  6. Step 6: Final answer
    x = 97.05

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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.