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Finding the Fourth Proportional to 405.51, 557.99 and 374.52

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Solution

The fourth proportional to 405.51, 557.99 and 374.52 is: 515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.51 : 557.99 = 374.52 : x
  2. Step 2: Convert to fraction form
    405.51/557.99 = 374.52/x
  3. Step 3: Cross multiply
    405.51x = 557.99 × 374.52
  4. Step 4: Simplify right side
    405.51x = 208,980.04
  5. Step 5: Solve for x
    x = 208,980.04/405.51
  6. Step 6: Final answer
    x = 515.36

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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.