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Finding the Fourth Proportional to 210.71, 314.21 and 206.06

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Solution

The fourth proportional to 210.71, 314.21 and 206.06 is: 307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.71 : 314.21 = 206.06 : x
  2. Step 2: Convert to fraction form
    210.71/314.21 = 206.06/x
  3. Step 3: Cross multiply
    210.71x = 314.21 × 206.06
  4. Step 4: Simplify right side
    210.71x = 64,743.51
  5. Step 5: Solve for x
    x = 64,743.51/210.71
  6. Step 6: Final answer
    x = 307.27

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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.