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Finding the Fourth Proportional to 526.16, 725.97 and 305.09

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Solution

The fourth proportional to 526.16, 725.97 and 305.09 is: 420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.16 : 725.97 = 305.09 : x
  2. Step 2: Convert to fraction form
    526.16/725.97 = 305.09/x
  3. Step 3: Cross multiply
    526.16x = 725.97 × 305.09
  4. Step 4: Simplify right side
    526.16x = 221,482.56
  5. Step 5: Solve for x
    x = 221,482.56/526.16
  6. Step 6: Final answer
    x = 420.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.