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Finding the Fourth Proportional to 430.87, 645.65 and 235.77

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Solution

The fourth proportional to 430.87, 645.65 and 235.77 is: 353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.87 : 645.65 = 235.77 : x
  2. Step 2: Convert to fraction form
    430.87/645.65 = 235.77/x
  3. Step 3: Cross multiply
    430.87x = 645.65 × 235.77
  4. Step 4: Simplify right side
    430.87x = 152,224.90
  5. Step 5: Solve for x
    x = 152,224.90/430.87
  6. Step 6: Final answer
    x = 353.30

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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.