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Finding the Fourth Proportional to 503.18, 754.58 and 202.55

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Solution

The fourth proportional to 503.18, 754.58 and 202.55 is: 303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.18 : 754.58 = 202.55 : x
  2. Step 2: Convert to fraction form
    503.18/754.58 = 202.55/x
  3. Step 3: Cross multiply
    503.18x = 754.58 × 202.55
  4. Step 4: Simplify right side
    503.18x = 152,835.39
  5. Step 5: Solve for x
    x = 152,835.39/503.18
  6. Step 6: Final answer
    x = 303.74

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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.