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Finding the Fourth Proportional to 210.58, 314.76 and 182.94

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Solution

The fourth proportional to 210.58, 314.76 and 182.94 is: 273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.58 : 314.76 = 182.94 : x
  2. Step 2: Convert to fraction form
    210.58/314.76 = 182.94/x
  3. Step 3: Cross multiply
    210.58x = 314.76 × 182.94
  4. Step 4: Simplify right side
    210.58x = 57,582.19
  5. Step 5: Solve for x
    x = 57,582.19/210.58
  6. Step 6: Final answer
    x = 273.45

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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.