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Finding the Fourth Proportional to 430.72, 646.08 and 156.81

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Solution

The fourth proportional to 430.72, 646.08 and 156.81 is: 235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.72 : 646.08 = 156.81 : x
  2. Step 2: Convert to fraction form
    430.72/646.08 = 156.81/x
  3. Step 3: Cross multiply
    430.72x = 646.08 × 156.81
  4. Step 4: Simplify right side
    430.72x = 101,311.80
  5. Step 5: Solve for x
    x = 101,311.80/430.72
  6. Step 6: Final answer
    x = 235.22

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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.