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Finding the Fourth Proportional to 430.94, 594.20 and 368.58

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Solution

The fourth proportional to 430.94, 594.20 and 368.58 is: 508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.94 : 594.20 = 368.58 : x
  2. Step 2: Convert to fraction form
    430.94/594.20 = 368.58/x
  3. Step 3: Cross multiply
    430.94x = 594.20 × 368.58
  4. Step 4: Simplify right side
    430.94x = 219,010.24
  5. Step 5: Solve for x
    x = 219,010.24/430.94
  6. Step 6: Final answer
    x = 508.22

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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.