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Finding the Fourth Proportional to 369.95, 554.45 and 207.74

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Solution

The fourth proportional to 369.95, 554.45 and 207.74 is: 311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.95 : 554.45 = 207.74 : x
  2. Step 2: Convert to fraction form
    369.95/554.45 = 207.74/x
  3. Step 3: Cross multiply
    369.95x = 554.45 × 207.74
  4. Step 4: Simplify right side
    369.95x = 115,181.79
  5. Step 5: Solve for x
    x = 115,181.79/369.95
  6. Step 6: Final answer
    x = 311.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.