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Finding the Fourth Proportional to 430.18, 645.63 and 156.52

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Solution

The fourth proportional to 430.18, 645.63 and 156.52 is: 234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.18 : 645.63 = 156.52 : x
  2. Step 2: Convert to fraction form
    430.18/645.63 = 156.52/x
  3. Step 3: Cross multiply
    430.18x = 645.63 × 156.52
  4. Step 4: Simplify right side
    430.18x = 101,054.01
  5. Step 5: Solve for x
    x = 101,054.01/430.18
  6. Step 6: Final answer
    x = 234.91

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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.