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Finding the Fourth Proportional to 468.52, 646.82 and 368.74

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Solution

The fourth proportional to 468.52, 646.82 and 368.74 is: 509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.52 : 646.82 = 368.74 : x
  2. Step 2: Convert to fraction form
    468.52/646.82 = 368.74/x
  3. Step 3: Cross multiply
    468.52x = 646.82 × 368.74
  4. Step 4: Simplify right side
    468.52x = 238,505.12
  5. Step 5: Solve for x
    x = 238,505.12/468.52
  6. Step 6: Final answer
    x = 509.06

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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.