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Finding the Fourth Proportional to 368.95, 509.18 and 203.19

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Solution

The fourth proportional to 368.95, 509.18 and 203.19 is: 280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.95 : 509.18 = 203.19 : x
  2. Step 2: Convert to fraction form
    368.95/509.18 = 203.19/x
  3. Step 3: Cross multiply
    368.95x = 509.18 × 203.19
  4. Step 4: Simplify right side
    368.95x = 103,459.27
  5. Step 5: Solve for x
    x = 103,459.27/368.95
  6. Step 6: Final answer
    x = 280.42

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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.