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Finding the Fourth Proportional to 565.90, 848.55 and 200.70

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Solution

The fourth proportional to 565.90, 848.55 and 200.70 is: 300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.90 : 848.55 = 200.70 : x
  2. Step 2: Convert to fraction form
    565.90/848.55 = 200.70/x
  3. Step 3: Cross multiply
    565.90x = 848.55 × 200.70
  4. Step 4: Simplify right side
    565.90x = 170,303.99
  5. Step 5: Solve for x
    x = 170,303.99/565.90
  6. Step 6: Final answer
    x = 300.94

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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.