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Finding the Fourth Proportional to 430.04, 642.79 and 356.60

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Solution

The fourth proportional to 430.04, 642.79 and 356.60 is: 533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.04 : 642.79 = 356.60 : x
  2. Step 2: Convert to fraction form
    430.04/642.79 = 356.60/x
  3. Step 3: Cross multiply
    430.04x = 642.79 × 356.60
  4. Step 4: Simplify right side
    430.04x = 229,218.91
  5. Step 5: Solve for x
    x = 229,218.91/430.04
  6. Step 6: Final answer
    x = 533.02

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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.