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Finding the Fourth Proportional to 390.02, 537.03 and 340.61

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Solution

The fourth proportional to 390.02, 537.03 and 340.61 is: 469.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.02 : 537.03 = 340.61 : x
  2. Step 2: Convert to fraction form
    390.02/537.03 = 340.61/x
  3. Step 3: Cross multiply
    390.02x = 537.03 × 340.61
  4. Step 4: Simplify right side
    390.02x = 182,915.10
  5. Step 5: Solve for x
    x = 182,915.10/390.02
  6. Step 6: Final answer
    x = 469.00

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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.