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Finding the Fourth Proportional to 420.52, 578.88 and 364.93

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Solution

The fourth proportional to 420.52, 578.88 and 364.93 is: 502.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.52 : 578.88 = 364.93 : x
  2. Step 2: Convert to fraction form
    420.52/578.88 = 364.93/x
  3. Step 3: Cross multiply
    420.52x = 578.88 × 364.93
  4. Step 4: Simplify right side
    420.52x = 211,250.68
  5. Step 5: Solve for x
    x = 211,250.68/420.52
  6. Step 6: Final answer
    x = 502.36

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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.