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Finding the Fourth Proportional to 294.01, 440.78 and 145.67

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Solution

The fourth proportional to 294.01, 440.78 and 145.67 is: 218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.01 : 440.78 = 145.67 : x
  2. Step 2: Convert to fraction form
    294.01/440.78 = 145.67/x
  3. Step 3: Cross multiply
    294.01x = 440.78 × 145.67
  4. Step 4: Simplify right side
    294.01x = 64,209.89
  5. Step 5: Solve for x
    x = 64,209.89/294.01
  6. Step 6: Final answer
    x = 218.40

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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.