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Finding the Fourth Proportional to 565.58, 848.45 and 223.50

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Solution

The fourth proportional to 565.58, 848.45 and 223.50 is: 335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.58 : 848.45 = 223.50 : x
  2. Step 2: Convert to fraction form
    565.58/848.45 = 223.50/x
  3. Step 3: Cross multiply
    565.58x = 848.45 × 223.50
  4. Step 4: Simplify right side
    565.58x = 189,628.58
  5. Step 5: Solve for x
    x = 189,628.58/565.58
  6. Step 6: Final answer
    x = 335.28

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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.