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Finding the Fourth Proportional to 210.00, 314.71 and 158.60

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Solution

The fourth proportional to 210.00, 314.71 and 158.60 is: 237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.00 : 314.71 = 158.60 : x
  2. Step 2: Convert to fraction form
    210.00/314.71 = 158.60/x
  3. Step 3: Cross multiply
    210.00x = 314.71 × 158.60
  4. Step 4: Simplify right side
    210.00x = 49,910.64
  5. Step 5: Solve for x
    x = 49,910.64/210.00
  6. Step 6: Final answer
    x = 237.68

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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.