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Finding the Fourth Proportional to 233.65, 348.64 and 210.61

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Solution

The fourth proportional to 233.65, 348.64 and 210.61 is: 314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.65 : 348.64 = 210.61 : x
  2. Step 2: Convert to fraction form
    233.65/348.64 = 210.61/x
  3. Step 3: Cross multiply
    233.65x = 348.64 × 210.61
  4. Step 4: Simplify right side
    233.65x = 73,424.27
  5. Step 5: Solve for x
    x = 73,424.27/233.65
  6. Step 6: Final answer
    x = 314.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.