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Finding the Fourth Proportional to 554.78, 832.14 and 266.15

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Solution

The fourth proportional to 554.78, 832.14 and 266.15 is: 399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.78 : 832.14 = 266.15 : x
  2. Step 2: Convert to fraction form
    554.78/832.14 = 266.15/x
  3. Step 3: Cross multiply
    554.78x = 832.14 × 266.15
  4. Step 4: Simplify right side
    554.78x = 221,474.06
  5. Step 5: Solve for x
    x = 221,474.06/554.78
  6. Step 6: Final answer
    x = 399.21

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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.