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Finding the Fourth Proportional to 552, 828.32 and 210.08

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Solution

The fourth proportional to 552, 828.32 and 210.08 is: 315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    552 : 828.32 = 210.08 : x
  2. Step 2: Convert to fraction form
    552/828.32 = 210.08/x
  3. Step 3: Cross multiply
    552x = 828.32 × 210.08
  4. Step 4: Simplify right side
    552x = 174,013.47
  5. Step 5: Solve for x
    x = 174,013.47/552
  6. Step 6: Final answer
    x = 315.24

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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.