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Finding the Fourth Proportional to 356.40, 535.68 and 235.08

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Solution

The fourth proportional to 356.40, 535.68 and 235.08 is: 353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.40 : 535.68 = 235.08 : x
  2. Step 2: Convert to fraction form
    356.40/535.68 = 235.08/x
  3. Step 3: Cross multiply
    356.40x = 535.68 × 235.08
  4. Step 4: Simplify right side
    356.40x = 125,927.65
  5. Step 5: Solve for x
    x = 125,927.65/356.40
  6. Step 6: Final answer
    x = 353.33

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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.