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Finding the Fourth Proportional to 210.74, 317.45 and 183.60

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Solution

The fourth proportional to 210.74, 317.45 and 183.60 is: 276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.74 : 317.45 = 183.60 : x
  2. Step 2: Convert to fraction form
    210.74/317.45 = 183.60/x
  3. Step 3: Cross multiply
    210.74x = 317.45 × 183.60
  4. Step 4: Simplify right side
    210.74x = 58,284.28
  5. Step 5: Solve for x
    x = 58,284.28/210.74
  6. Step 6: Final answer
    x = 276.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.