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Finding the Fourth Proportional to 529.90, 794.78 and 205.10

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Solution

The fourth proportional to 529.90, 794.78 and 205.10 is: 307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.90 : 794.78 = 205.10 : x
  2. Step 2: Convert to fraction form
    529.90/794.78 = 205.10/x
  3. Step 3: Cross multiply
    529.90x = 794.78 × 205.10
  4. Step 4: Simplify right side
    529.90x = 163,009.38
  5. Step 5: Solve for x
    x = 163,009.38/529.90
  6. Step 6: Final answer
    x = 307.62

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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.