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Finding the Fourth Proportional to 370.86, 510.30 and 359.60

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Solution

The fourth proportional to 370.86, 510.30 and 359.60 is: 494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.86 : 510.30 = 359.60 : x
  2. Step 2: Convert to fraction form
    370.86/510.30 = 359.60/x
  3. Step 3: Cross multiply
    370.86x = 510.30 × 359.60
  4. Step 4: Simplify right side
    370.86x = 183,501.33
  5. Step 5: Solve for x
    x = 183,501.33/370.86
  6. Step 6: Final answer
    x = 494.80

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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.