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Finding the Fourth Proportional to 358.48, 538.64 and 348.40

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Solution

The fourth proportional to 358.48, 538.64 and 348.40 is: 523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.48 : 538.64 = 348.40 : x
  2. Step 2: Convert to fraction form
    358.48/538.64 = 348.40/x
  3. Step 3: Cross multiply
    358.48x = 538.64 × 348.40
  4. Step 4: Simplify right side
    358.48x = 187,662.18
  5. Step 5: Solve for x
    x = 187,662.18/358.48
  6. Step 6: Final answer
    x = 523.49

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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.