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Finding the Fourth Proportional to 470.08, 705.10 and 235.89

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Solution

The fourth proportional to 470.08, 705.10 and 235.89 is: 353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.08 : 705.10 = 235.89 : x
  2. Step 2: Convert to fraction form
    470.08/705.10 = 235.89/x
  3. Step 3: Cross multiply
    470.08x = 705.10 × 235.89
  4. Step 4: Simplify right side
    470.08x = 166,326.04
  5. Step 5: Solve for x
    x = 166,326.04/470.08
  6. Step 6: Final answer
    x = 353.82

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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.