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Finding the Fourth Proportional to 430.70, 646.38 and 157.05

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Solution

The fourth proportional to 430.70, 646.38 and 157.05 is: 235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.70 : 646.38 = 157.05 : x
  2. Step 2: Convert to fraction form
    430.70/646.38 = 157.05/x
  3. Step 3: Cross multiply
    430.70x = 646.38 × 157.05
  4. Step 4: Simplify right side
    430.70x = 101,513.98
  5. Step 5: Solve for x
    x = 101,513.98/430.70
  6. Step 6: Final answer
    x = 235.70

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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.