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Finding the Fourth Proportional to 430.32, 645.40 and 156.54

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Solution

The fourth proportional to 430.32, 645.40 and 156.54 is: 234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.32 : 645.40 = 156.54 : x
  2. Step 2: Convert to fraction form
    430.32/645.40 = 156.54/x
  3. Step 3: Cross multiply
    430.32x = 645.40 × 156.54
  4. Step 4: Simplify right side
    430.32x = 101,030.92
  5. Step 5: Solve for x
    x = 101,030.92/430.32
  6. Step 6: Final answer
    x = 234.78

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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.