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Finding the Fourth Proportional to 565.54, 848.36 and 219.16

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Solution

The fourth proportional to 565.54, 848.36 and 219.16 is: 328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.54 : 848.36 = 219.16 : x
  2. Step 2: Convert to fraction form
    565.54/848.36 = 219.16/x
  3. Step 3: Cross multiply
    565.54x = 848.36 × 219.16
  4. Step 4: Simplify right side
    565.54x = 185,926.58
  5. Step 5: Solve for x
    x = 185,926.58/565.54
  6. Step 6: Final answer
    x = 328.76

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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.