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Finding the Fourth Proportional to 429.84, 594.27 and 368.28

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Solution

The fourth proportional to 429.84, 594.27 and 368.28 is: 509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.84 : 594.27 = 368.28 : x
  2. Step 2: Convert to fraction form
    429.84/594.27 = 368.28/x
  3. Step 3: Cross multiply
    429.84x = 594.27 × 368.28
  4. Step 4: Simplify right side
    429.84x = 218,857.76
  5. Step 5: Solve for x
    x = 218,857.76/429.84
  6. Step 6: Final answer
    x = 509.16

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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.