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Finding the Fourth Proportional to 210.13, 313.90 and 206.08

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Solution

The fourth proportional to 210.13, 313.90 and 206.08 is: 307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.13 : 313.90 = 206.08 : x
  2. Step 2: Convert to fraction form
    210.13/313.90 = 206.08/x
  3. Step 3: Cross multiply
    210.13x = 313.90 × 206.08
  4. Step 4: Simplify right side
    210.13x = 64,688.51
  5. Step 5: Solve for x
    x = 64,688.51/210.13
  6. Step 6: Final answer
    x = 307.85

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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.