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Finding the Fourth Proportional to 390.23, 538.21 and 348.26

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Solution

The fourth proportional to 390.23, 538.21 and 348.26 is: 480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.23 : 538.21 = 348.26 : x
  2. Step 2: Convert to fraction form
    390.23/538.21 = 348.26/x
  3. Step 3: Cross multiply
    390.23x = 538.21 × 348.26
  4. Step 4: Simplify right side
    390.23x = 187,437.01
  5. Step 5: Solve for x
    x = 187,437.01/390.23
  6. Step 6: Final answer
    x = 480.32

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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.