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Finding the Fourth Proportional to 390.02, 537.73 and 285.02

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Solution

The fourth proportional to 390.02, 537.73 and 285.02 is: 392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.02 : 537.73 = 285.02 : x
  2. Step 2: Convert to fraction form
    390.02/537.73 = 285.02/x
  3. Step 3: Cross multiply
    390.02x = 537.73 × 285.02
  4. Step 4: Simplify right side
    390.02x = 153,260.40
  5. Step 5: Solve for x
    x = 153,260.40/390.02
  6. Step 6: Final answer
    x = 392.96

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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.