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Finding the Fourth Proportional to 229.77, 316.71 and 210.06

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Solution

The fourth proportional to 229.77, 316.71 and 210.06 is: 289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.77 : 316.71 = 210.06 : x
  2. Step 2: Convert to fraction form
    229.77/316.71 = 210.06/x
  3. Step 3: Cross multiply
    229.77x = 316.71 × 210.06
  4. Step 4: Simplify right side
    229.77x = 66,528.10
  5. Step 5: Solve for x
    x = 66,528.10/229.77
  6. Step 6: Final answer
    x = 289.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.