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Finding the Fourth Proportional to 263.35, 393.66 and 202.30

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Solution

The fourth proportional to 263.35, 393.66 and 202.30 is: 302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.35 : 393.66 = 202.30 : x
  2. Step 2: Convert to fraction form
    263.35/393.66 = 202.30/x
  3. Step 3: Cross multiply
    263.35x = 393.66 × 202.30
  4. Step 4: Simplify right side
    263.35x = 79,636.43
  5. Step 5: Solve for x
    x = 79,636.43/263.35
  6. Step 6: Final answer
    x = 302.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.