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Finding the Fourth Proportional to 374.13, 564.55 and 359.15

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Solution

The fourth proportional to 374.13, 564.55 and 359.15 is: 541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.13 : 564.55 = 359.15 : x
  2. Step 2: Convert to fraction form
    374.13/564.55 = 359.15/x
  3. Step 3: Cross multiply
    374.13x = 564.55 × 359.15
  4. Step 4: Simplify right side
    374.13x = 202,753.51
  5. Step 5: Solve for x
    x = 202,753.51/374.13
  6. Step 6: Final answer
    x = 541.93

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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.