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Finding the Fourth Proportional to 370.22, 510.93 and 215.06

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Solution

The fourth proportional to 370.22, 510.93 and 215.06 is: 296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.22 : 510.93 = 215.06 : x
  2. Step 2: Convert to fraction form
    370.22/510.93 = 215.06/x
  3. Step 3: Cross multiply
    370.22x = 510.93 × 215.06
  4. Step 4: Simplify right side
    370.22x = 109,880.61
  5. Step 5: Solve for x
    x = 109,880.61/370.22
  6. Step 6: Final answer
    x = 296.80

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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.