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Finding the Fourth Proportional to 392.40, 587.93 and 340.07

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Solution

The fourth proportional to 392.40, 587.93 and 340.07 is: 509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.40 : 587.93 = 340.07 : x
  2. Step 2: Convert to fraction form
    392.40/587.93 = 340.07/x
  3. Step 3: Cross multiply
    392.40x = 587.93 × 340.07
  4. Step 4: Simplify right side
    392.40x = 199,932.72
  5. Step 5: Solve for x
    x = 199,932.72/392.40
  6. Step 6: Final answer
    x = 509.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.