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Finding the Fourth Proportional to 368.90, 508.16 and 316.28

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Solution

The fourth proportional to 368.90, 508.16 and 316.28 is: 435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.90 : 508.16 = 316.28 : x
  2. Step 2: Convert to fraction form
    368.90/508.16 = 316.28/x
  3. Step 3: Cross multiply
    368.90x = 508.16 × 316.28
  4. Step 4: Simplify right side
    368.90x = 160,720.84
  5. Step 5: Solve for x
    x = 160,720.84/368.90
  6. Step 6: Final answer
    x = 435.68

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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.