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Finding the Fourth Proportional to 207.19, 309.37 and 184.10

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Solution

The fourth proportional to 207.19, 309.37 and 184.10 is: 274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.19 : 309.37 = 184.10 : x
  2. Step 2: Convert to fraction form
    207.19/309.37 = 184.10/x
  3. Step 3: Cross multiply
    207.19x = 309.37 × 184.10
  4. Step 4: Simplify right side
    207.19x = 56,955.02
  5. Step 5: Solve for x
    x = 56,955.02/207.19
  6. Step 6: Final answer
    x = 274.89

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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.