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Finding the Fourth Proportional to 368.96, 509.28 and 356.80

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Solution

The fourth proportional to 368.96, 509.28 and 356.80 is: 492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.96 : 509.28 = 356.80 : x
  2. Step 2: Convert to fraction form
    368.96/509.28 = 356.80/x
  3. Step 3: Cross multiply
    368.96x = 509.28 × 356.80
  4. Step 4: Simplify right side
    368.96x = 181,711.10
  5. Step 5: Solve for x
    x = 181,711.10/368.96
  6. Step 6: Final answer
    x = 492.50

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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.