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Finding the Fourth Proportional to 285.21, 430.20 and 268.35

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Solution

The fourth proportional to 285.21, 430.20 and 268.35 is: 404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.21 : 430.20 = 268.35 : x
  2. Step 2: Convert to fraction form
    285.21/430.20 = 268.35/x
  3. Step 3: Cross multiply
    285.21x = 430.20 × 268.35
  4. Step 4: Simplify right side
    285.21x = 115,444.17
  5. Step 5: Solve for x
    x = 115,444.17/285.21
  6. Step 6: Final answer
    x = 404.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.