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Finding the Fourth Proportional to 210.84, 289.02 and 207.16

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Solution

The fourth proportional to 210.84, 289.02 and 207.16 is: 283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.84 : 289.02 = 207.16 : x
  2. Step 2: Convert to fraction form
    210.84/289.02 = 207.16/x
  3. Step 3: Cross multiply
    210.84x = 289.02 × 207.16
  4. Step 4: Simplify right side
    210.84x = 59,873.38
  5. Step 5: Solve for x
    x = 59,873.38/210.84
  6. Step 6: Final answer
    x = 283.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.