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Finding the Fourth Proportional to 368.35, 508.36 and 202.58

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Solution

The fourth proportional to 368.35, 508.36 and 202.58 is: 279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.35 : 508.36 = 202.58 : x
  2. Step 2: Convert to fraction form
    368.35/508.36 = 202.58/x
  3. Step 3: Cross multiply
    368.35x = 508.36 × 202.58
  4. Step 4: Simplify right side
    368.35x = 102,981.28
  5. Step 5: Solve for x
    x = 102,981.28/368.35
  6. Step 6: Final answer
    x = 279.58

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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.