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Finding the Fourth Proportional to 210.21, 288.09 and 207.50

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Solution

The fourth proportional to 210.21, 288.09 and 207.50 is: 284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.21 : 288.09 = 207.50 : x
  2. Step 2: Convert to fraction form
    210.21/288.09 = 207.50/x
  3. Step 3: Cross multiply
    210.21x = 288.09 × 207.50
  4. Step 4: Simplify right side
    210.21x = 59,777.23
  5. Step 5: Solve for x
    x = 59,777.23/210.21
  6. Step 6: Final answer
    x = 284.37

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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.