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Finding the Fourth Proportional to 374.86, 565.36 and 370.77

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Solution

The fourth proportional to 374.86, 565.36 and 370.77 is: 559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.86 : 565.36 = 370.77 : x
  2. Step 2: Convert to fraction form
    374.86/565.36 = 370.77/x
  3. Step 3: Cross multiply
    374.86x = 565.36 × 370.77
  4. Step 4: Simplify right side
    374.86x = 209,618.53
  5. Step 5: Solve for x
    x = 209,618.53/374.86
  6. Step 6: Final answer
    x = 559.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.