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Finding the Fourth Proportional to 430.70, 646.10 and 156.86

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Solution

The fourth proportional to 430.70, 646.10 and 156.86 is: 235.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.70 : 646.10 = 156.86 : x
  2. Step 2: Convert to fraction form
    430.70/646.10 = 156.86/x
  3. Step 3: Cross multiply
    430.70x = 646.10 × 156.86
  4. Step 4: Simplify right side
    430.70x = 101,347.25
  5. Step 5: Solve for x
    x = 101,347.25/430.70
  6. Step 6: Final answer
    x = 235.31

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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.