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Finding the Fourth Proportional to 313.02, 432.06 and 202.49

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Solution

The fourth proportional to 313.02, 432.06 and 202.49 is: 279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.02 : 432.06 = 202.49 : x
  2. Step 2: Convert to fraction form
    313.02/432.06 = 202.49/x
  3. Step 3: Cross multiply
    313.02x = 432.06 × 202.49
  4. Step 4: Simplify right side
    313.02x = 87,487.83
  5. Step 5: Solve for x
    x = 87,487.83/313.02
  6. Step 6: Final answer
    x = 279.50

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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.