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Finding the Fourth Proportional to 409.78, 565.59 and 368.26

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Solution

The fourth proportional to 409.78, 565.59 and 368.26 is: 508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.78 : 565.59 = 368.26 : x
  2. Step 2: Convert to fraction form
    409.78/565.59 = 368.26/x
  3. Step 3: Cross multiply
    409.78x = 565.59 × 368.26
  4. Step 4: Simplify right side
    409.78x = 208,281.35
  5. Step 5: Solve for x
    x = 208,281.35/409.78
  6. Step 6: Final answer
    x = 508.28

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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.