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Finding the Fourth Proportional to 430.16, 593.70 and 282.50

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Solution

The fourth proportional to 430.16, 593.70 and 282.50 is: 389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.16 : 593.70 = 282.50 : x
  2. Step 2: Convert to fraction form
    430.16/593.70 = 282.50/x
  3. Step 3: Cross multiply
    430.16x = 593.70 × 282.50
  4. Step 4: Simplify right side
    430.16x = 167,720.25
  5. Step 5: Solve for x
    x = 167,720.25/430.16
  6. Step 6: Final answer
    x = 389.90

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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.