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Finding the Fourth Proportional to 364.86, 501.65 and 325.15

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Solution

The fourth proportional to 364.86, 501.65 and 325.15 is: 447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.86 : 501.65 = 325.15 : x
  2. Step 2: Convert to fraction form
    364.86/501.65 = 325.15/x
  3. Step 3: Cross multiply
    364.86x = 501.65 × 325.15
  4. Step 4: Simplify right side
    364.86x = 163,111.06
  5. Step 5: Solve for x
    x = 163,111.06/364.86
  6. Step 6: Final answer
    x = 447.05

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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.