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Finding the Fourth Proportional to 358.60, 491.48 and 347.64

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Solution

The fourth proportional to 358.60, 491.48 and 347.64 is: 476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.60 : 491.48 = 347.64 : x
  2. Step 2: Convert to fraction form
    358.60/491.48 = 347.64/x
  3. Step 3: Cross multiply
    358.60x = 491.48 × 347.64
  4. Step 4: Simplify right side
    358.60x = 170,858.11
  5. Step 5: Solve for x
    x = 170,858.11/358.60
  6. Step 6: Final answer
    x = 476.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.