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Finding the Fourth Proportional to 205.19, 283.62 and 177.50

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Solution

The fourth proportional to 205.19, 283.62 and 177.50 is: 245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.19 : 283.62 = 177.50 : x
  2. Step 2: Convert to fraction form
    205.19/283.62 = 177.50/x
  3. Step 3: Cross multiply
    205.19x = 283.62 × 177.50
  4. Step 4: Simplify right side
    205.19x = 50,342.55
  5. Step 5: Solve for x
    x = 50,342.55/205.19
  6. Step 6: Final answer
    x = 245.35

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.