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Finding the Fourth Proportional to 359.02, 492.23 and 342.01

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Solution

The fourth proportional to 359.02, 492.23 and 342.01 is: 468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.02 : 492.23 = 342.01 : x
  2. Step 2: Convert to fraction form
    359.02/492.23 = 342.01/x
  3. Step 3: Cross multiply
    359.02x = 492.23 × 342.01
  4. Step 4: Simplify right side
    359.02x = 168,347.58
  5. Step 5: Solve for x
    x = 168,347.58/359.02
  6. Step 6: Final answer
    x = 468.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.