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Finding the Fourth Proportional to 211.02, 314.70 and 207.42

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Solution

The fourth proportional to 211.02, 314.70 and 207.42 is: 309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.02 : 314.70 = 207.42 : x
  2. Step 2: Convert to fraction form
    211.02/314.70 = 207.42/x
  3. Step 3: Cross multiply
    211.02x = 314.70 × 207.42
  4. Step 4: Simplify right side
    211.02x = 65,275.07
  5. Step 5: Solve for x
    x = 65,275.07/211.02
  6. Step 6: Final answer
    x = 309.33

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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.