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Finding the Fourth Proportional to 341.99, 509.74 and 322.53

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Solution

The fourth proportional to 341.99, 509.74 and 322.53 is: 480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.99 : 509.74 = 322.53 : x
  2. Step 2: Convert to fraction form
    341.99/509.74 = 322.53/x
  3. Step 3: Cross multiply
    341.99x = 509.74 × 322.53
  4. Step 4: Simplify right side
    341.99x = 164,409.54
  5. Step 5: Solve for x
    x = 164,409.54/341.99
  6. Step 6: Final answer
    x = 480.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.