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Finding the Fourth Proportional to 364.93, 544.51 and 342.77

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Solution

The fourth proportional to 364.93, 544.51 and 342.77 is: 511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.93 : 544.51 = 342.77 : x
  2. Step 2: Convert to fraction form
    364.93/544.51 = 342.77/x
  3. Step 3: Cross multiply
    364.93x = 544.51 × 342.77
  4. Step 4: Simplify right side
    364.93x = 186,642.06
  5. Step 5: Solve for x
    x = 186,642.06/364.93
  6. Step 6: Final answer
    x = 511.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.