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Finding the Fourth Proportional to 368.60, 509.65 and 322.47

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Solution

The fourth proportional to 368.60, 509.65 and 322.47 is: 445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.60 : 509.65 = 322.47 : x
  2. Step 2: Convert to fraction form
    368.60/509.65 = 322.47/x
  3. Step 3: Cross multiply
    368.60x = 509.65 × 322.47
  4. Step 4: Simplify right side
    368.60x = 164,346.03
  5. Step 5: Solve for x
    x = 164,346.03/368.60
  6. Step 6: Final answer
    x = 445.87

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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.