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Finding the Fourth Proportional to 370.03, 510.36 and 342.34

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Solution

The fourth proportional to 370.03, 510.36 and 342.34 is: 472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.03 : 510.36 = 342.34 : x
  2. Step 2: Convert to fraction form
    370.03/510.36 = 342.34/x
  3. Step 3: Cross multiply
    370.03x = 510.36 × 342.34
  4. Step 4: Simplify right side
    370.03x = 174,716.64
  5. Step 5: Solve for x
    x = 174,716.64/370.03
  6. Step 6: Final answer
    x = 472.17

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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.