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Finding the Fourth Proportional to 313.50, 432.60 and 202.98

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Solution

The fourth proportional to 313.50, 432.60 and 202.98 is: 280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.50 : 432.60 = 202.98 : x
  2. Step 2: Convert to fraction form
    313.50/432.60 = 202.98/x
  3. Step 3: Cross multiply
    313.50x = 432.60 × 202.98
  4. Step 4: Simplify right side
    313.50x = 87,809.15
  5. Step 5: Solve for x
    x = 87,809.15/313.50
  6. Step 6: Final answer
    x = 280.09

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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.